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   <div id="projectname">gbmath
   &#160;<span id="projectnumber">v0.051</span>
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   <div id="projectbrief">c++ math library</div>
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<div class="title">sphere.h</div>  </div>
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<a href="sphere_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;﻿</div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#ifndef __GBMATH_H__</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor"></span><span class="preprocessor">    #error  DO NOT INCLUDE THIS FILE. USE:   #include &lt;gbmath/_gbmath.h&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span>gbmath</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;{</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html">   21</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classgbmath_1_1sphere.html" title="The scope of the center point and radius. She Bounding sphere. ">sphere</a> </div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    {</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">public</span>:</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595">   25</a></span>&#160;       <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>   <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>;  </div>
<div class="line"><a name="l00026"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5">   26</a></span>&#160;      <span class="keywordtype">float</span>   <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;  </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
<div class="line"><a name="l00028"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#ac63932787d7bde2a1cc4cd6121683b8f">   28</a></span>&#160;      <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1sphere.html#ac63932787d7bde2a1cc4cd6121683b8f">sphere</a>()</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      {</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;           <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#ab4c9960c40bf781518304c24f45f471d">setzero</a>();</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;           <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> = 0.0f;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      }</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#a7e58842a6b4d616fc45efa205971e2c2">   34</a></span>&#160;      <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1sphere.html#a7e58842a6b4d616fc45efa205971e2c2">sphere</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1sphere.html" title="The scope of the center point and radius. She Bounding sphere. ">sphere</a>&amp; s)</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      {</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a> = s.<a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> = s.<a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      }</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#aa74872b8309d87f42f651e4221be2a24">   40</a></span>&#160;      <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1sphere.html#aa74872b8309d87f42f651e4221be2a24">sphere</a>(<span class="keyword">const</span>  <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; _center, <span class="keyword">const</span> <span class="keywordtype">float</span> _radius)</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a> = _center;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> = _radius;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#a4cd6ede886b97c80ca428b16ea889c82">   47</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classgbmath_1_1sphere.html#a4cd6ede886b97c80ca428b16ea889c82">set</a>(<span class="keyword">const</span>  <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; _center, <span class="keywordtype">float</span> _radius)</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a> = _center;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> = _radius;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      }</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#acc2acbe0c97165741143f4b62e546223">   53</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classgbmath_1_1sphere.html#acc2acbe0c97165741143f4b62e546223">set</a>( <span class="keywordtype">float</span> centerX, <span class="keywordtype">float</span> centerY, <span class="keywordtype">float</span> centerZ, <span class="keywordtype">float</span> fRadius)</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> = centerX;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> = centerY;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> = centerZ;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> = fRadius;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      }</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#a24763eeb9307e87187614d4077879276">   61</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classgbmath_1_1sphere.html#a24763eeb9307e87187614d4077879276">empty</a>()<span class="keyword"> const </span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="keyword">      </span>{</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          <span class="keywordflow">return</span> ( <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a4a688f16c817df7f8409283492445e7a">empty</a>() ) &amp;&amp; ( <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> == 0.0f ); </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                </div>
<div class="line"><a name="l00069"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#af7add32d0db9104ea54dac81d170ea8c">   69</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1sphere.html#af7add32d0db9104ea54dac81d170ea8c" title="Get the distance between the edges of the spheres. ">distanceBetweenSpheres</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1sphere.html" title="The scope of the center point and radius. She Bounding sphere. ">sphere</a>&amp; s)<span class="keyword"> const</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="keyword">      </span>{</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">float</span> dist = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a89d5f86f16967723ae1e30fa4202d953" title="Compute and return the distance between this and point. ">distance</a>(s.<a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>);</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          <span class="keywordtype">float</span> res = dist - ( <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> + s.<a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> );</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      }</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classgbmath_1_1aabb.html" title="Axis Aligned Bounding Box by min and max points. ">aabb</a> <a class="code" href="classgbmath_1_1sphere.html#a1029fea7ae1b7b9048286e9aba608014" title="Get a box built inside the sphere. TESTED! ">toAabbInside</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classgbmath_1_1aabb.html" title="Axis Aligned Bounding Box by min and max points. ">aabb</a> <a class="code" href="classgbmath_1_1sphere.html#a6038a87083d39786a793cd81fc000d7e" title="Get a box built on the edge of the area. TESTED. ">toAabbOutside</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#aa0987215c8712c9a95466a7b8d9541c0">   84</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classgbmath_1_1sphere.html#aa0987215c8712c9a95466a7b8d9541c0" title="check sphere is contact . TESTED! ">checkIntersectSphere</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1sphere.html" title="The scope of the center point and radius. She Bounding sphere. ">sphere</a>&amp; s)<span class="keyword"> const</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keyword">      </span>{</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">float</span> dist = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a89d5f86f16967723ae1e30fa4202d953" title="Compute and return the distance between this and point. ">distance</a>(s.<a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">float</span> rsum = <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> + s.<a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordflow">if</span> (dist &gt; (rsum) )</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;              <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <a class="code" href="namespacegbmath.html#a52378c6698d1142d3539c0424773a59e" title="description of spatial objects crossing ">obj_contains_e</a> <a class="code" href="classgbmath_1_1sphere.html#aeebc5c779e647e019c887b8993561758">BSphereContainsBSphere</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1sphere.html" title="The scope of the center point and radius. She Bounding sphere. ">sphere</a>&amp; s) <span class="keyword">const</span> ;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    };</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160; </div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;}</div>
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